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Contact geometry and CR structures on \(S^ 3\) - MaRDI portal

Contact geometry and CR structures on \(S^ 3\) (Q1327354)

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scientific article; zbMATH DE number 590323
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English
Contact geometry and CR structures on \(S^ 3\)
scientific article; zbMATH DE number 590323

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    Contact geometry and CR structures on \(S^ 3\) (English)
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    12 June 1995
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    The paper indicates a generalization of the Riemann mapping theorem to the space of abstract CR manifolds which are small perturbations of the standard CR structure on the unit sphere in \(\mathbb{C}^ 2\) by means of the interplay between contact geometry and CR geometry. This detailed programme is undertaken with a view to extend the same approach to higher dimension.
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    Riemann mapping theorem
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    CR structure
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    contact geometry
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